A bag contains a total of 180 coins in the denominations of ₹5 and ₹1. Find the number of ₹5 coins in the bag, if the total value of the coins is ₹500.
- A80
- B100
- C120
- D60
Solution & Step-by-step Explanation
Let the number of ₹5 coins be x.
Since the total number of coins is 180, the number of ₹1 coins will be (180−x).
The total value of the coins is ₹500:
5x+1(180−x)=500
5x+180−x=500
4x+180=500
4x=500−180
4x=320
x=
4
320
=80
Thus, the number of ₹5 coins is 80.
Since the total number of coins is 180, the number of ₹1 coins will be (180−x).
The total value of the coins is ₹500:
5x+1(180−x)=500
5x+180−x=500
4x+180=500
4x=500−180
4x=320
x=
4
320
=80
Thus, the number of ₹5 coins is 80.